Problem:
Six samples of size 10 were collected. The data are provided in the following table:
Sample number 1 2 3 4 5 6
Sample mean 4.80 4.62 4.81 4.55 4.92 4.65
Sample standard deviation 0.35 0.33 0.31 0.35 0.37 0.39
Question 1) What are the upper control limit (UCL) and lower control limit (LCL) for an s-chart? Solve the problem and show all work.